1
VITEEE 2025
MCQ (Single Correct Answer)
+4
-1

The set of real value of $x$ for which $\log _{0.2} \frac{x+2}{x} \leq 1$ is

A

$\left(-\infty,-\frac{5}{2}\right] \cup(0, \infty)$

B

$(-\infty,-2) \cup[0, \infty)$

C

$\left[\frac{5}{2}, \infty\right)$

D

None of these

2
VITEEE 2025
MCQ (Single Correct Answer)
+4
-1

The value of $(016)^{\log _{25}\left(\frac{1}{3}+\frac{1}{3^2}+\ldots+\infty\right)}$ is equal to

$..........$

A

0.16

B

4

C

0

D

1

3
VITEEE 2024
MCQ (Single Correct Answer)
+4
-1

$\log \left(\log _{a b} a+\frac{1}{\log _b a b}\right)$ is $($ where $a b \neq 1)$

A
0
B
1
C
$\log _a a b$
D
$\log _b a b$
4
VITEEE 2024
MCQ (Single Correct Answer)
+4
-1

If $a, b$ and $c$ are distinct positive numbers, not equal to unity. Such that $a b c=1$, then the value of $\log _b a \cdot \log _c a+\log _c b$ $\cdot \log _a b+\log _a c \log _b c$ is

A
0
B
1
C
2
D
3

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